Yes

you do need a jacket based on the weather in Beckton, London, UK 1 second ago

Why? Because it's cool. Pleasantly cool, but cool and it's on the windy side!
58°F14°C & Mostly Cloudy

Wind is 11 mph17 km/h from the Southwest, gusting to 23 mph37 km/h
October 21
12pm59°F15°C11 mph17 km/h SouthwestMostly Cloudy
1pm60°F15°C10 mph17 km/h SouthwestMostly Cloudy
2pm60°F16°C11 mph18 km/h SouthwestMostly Cloudy
3pm59°F15°C11 mph18 km/h SouthwestMostly Cloudy
4pm58°F15°C10 mph16 km/h SouthwestMostly Cloudy
5pm58°F14°C10 mph15 km/h SouthwestPartly Cloudy
6pm57°F14°C9 mph15 km/h SouthwestPartly Cloudy
7pm55°F13°C9 mph15 km/h WestPartly Cloudy
8pm55°F13°C9 mph14 km/h WestMostly Clear
9pm54°F12°C8 mph13 km/h WestMostly Clear
10pm53°F12°C8 mph12 km/h WestMostly Clear
11pm53°F12°C7 mph11 km/h WestPartly Cloudy
DateLowHighWindDayNight
October 2053°F12°C60°F16°C9 mph14 km/h from SouthwestMostly CloudyPartly Cloudy
October 2149°F9°C58°F14°C5 mph8 km/h from SouthwestMostly CloudyRain
October 2245°F7°C56°F13°C20 mph32 km/h from WestRainPartly Cloudy
October 2343°F6°C53°F12°C14 mph22 km/h from WestPartly CloudyMostly Cloudy
October 2442°F5°C50°F10°C11 mph17 km/h from NorthwestPartly CloudyPartly Cloudy
October 2541°F5°C50°F10°C9 mph15 km/h from NorthwestPartly CloudyDrizzle
October 2744°F7°C54°F12°C11 mph18 km/h from WestRainPartly Cloudy

Yes

Low of 49°F10°C, High of 58°F15°C
Wind: 5 mph8 km/h
Precipitation: None

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